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Finding the Fourth Proportional to 12,643.84, 17,445 and 8,167.78

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Solution

The fourth proportional to 12,643.84, 17,445 and 8,167.78 is: 11,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.84 : 17,445 = 8,167.78 : x
  2. Step 2: Convert to fraction form
    12,643.84/17,445 = 8,167.78/x
  3. Step 3: Cross multiply
    12,643.84x = 17,445 × 8,167.78
  4. Step 4: Simplify right side
    12,643.84x = 142,486,922.10
  5. Step 5: Solve for x
    x = 142,486,922.10/12,643.84
  6. Step 6: Final answer
    x = 11,269.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.